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Finding the Fourth Proportional to 477.96, 713.52 and 436.92

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Solution

The fourth proportional to 477.96, 713.52 and 436.92 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 713.52 = 436.92 : x
  2. Step 2: Convert to fraction form
    477.96/713.52 = 436.92/x
  3. Step 3: Cross multiply
    477.96x = 713.52 × 436.92
  4. Step 4: Simplify right side
    477.96x = 311,751.16
  5. Step 5: Solve for x
    x = 311,751.16/477.96
  6. Step 6: Final answer
    x = 652.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.